document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277597>Question 277597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by the elimination method<BR>\n" );
document.write( "3x+4y=2<BR>\n" );
document.write( "6x+8y=4\r<BR>\n" );
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document.write( "type an ordered pair </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202103 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=202103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you simplify the second equation by dividing both sides by 2, you have the first equation. Hence, for all x,y that solve the first equation, the system is satisfied.\r<BR>\n" );
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document.write( "For an ordered pair, solve:<BR>\n" );
document.write( "4y=2-3x<BR>\n" );
document.write( "y=(1/2)-(3x/4)\r<BR>\n" );
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document.write( "Take x=1.<BR>\n" );
document.write( "Then y=(1/2)-(3/4)=-1/4\r<BR>\n" );
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document.write( "So (1,-1/4) is an ordered pair.\r<BR>\n" );
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document.write( "Check it!<BR>\n" );
document.write( "6(1)+8(-1/4)=6-2=4 which is the right hand side of the second equation.\r<BR>\n" );
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document.write( "Elimination means to eliminate variables, so you could just subtract two times the first equation from the second to get 0=0, but the above is a better argument. </SPAN>\n" );
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